We consider an open Wilson line as a momentum representation of a boundary state which describes a D-brane in a constant B-field background. Using this picture, we study the Seiberg-Witten map which relates the commutative and noncommutative gauge fields, and determine the products of fields appearing in the general terms in the expansion of this map. In the recent study of noncommutative gauge...

Conformal maps between planar domains are an important tool in geometry processing, used for shape deformation and image warping. The Riemann mapping theorem guarantees that there exists a conformal map between any two simply connected planar domains, yet computing this map efficiently remains challenging. In practice, one of the main algorithmic questions is the correspondence between the boun...

Domain decomposition methods are designed to deal with coupled or transmission problems for partial differential equations. Since the original boundary value problem is replaced by local problems in substructures, domain decomposition methods are well suited for both parallelization and coupling of different discretization schemes. In general, the coupled problem is reduced to the Schur complem...

The extraction of a 3D topological map from an Oriented Boundary Graph can be needed to re ne a 3D Split and Merge segmentation using topological information such as the Euler characteristic of regions. A presegmentation could thus be e ciently obtained using a light structuring model, before proceeding to the extraction of more information on some regions of interest. In this paper, we present...

If u ∈ H(M,N) is a weakly J-holomorphic map from a compact without boundary almost hermitian manifold (M, j, g) into another compact without boundary almost hermitian manifold (N, J, h). Then it is smooth near any point x where Du has vanishing Morrey norm M2,2m−2, with 2m =dim(M). Hence H2m−2measure of the singular set for a stationary J-holomorphic map is zero. Blow-up analysis and the energy...

Introduction 1 1. A review of the Hilbert manifold of maps and diffeomorphism groups 5 1.1. Notation 7 2. New diffeomorphism subgroups 8 2.1. Neumann boundary conditions for diffeomorphisms 8 2.2. Mixed boundary conditions for diffeomorphisms 12 2.3. Dirichlet boundary conditions for diffeomorphisms 14 2.4. The group exponential map 14 2.5. A unified approach to differentiable structure on subg...

•One or two lesions in different positions in the ventricular myocardium were modelled and corresponding BSPMs (body surface potential maps) were calculated on the surface of an inhomogeneous torso model using the multiple dipole cardiac generator [2]. Twelve combinations of two ischemic lesions were adopted, each with eight variations in size and shape. Together 96 pairs and 48 single lesions ...

By a hyperbolization of a locally compact non-complete metric space (X, d) we mean equipping X with a Gromov hyperbolic metric dh so that the boundary at infinity ∂∞X of (X, dh) can be identified with the metric boundary ∂X of (X, d) via a quasisymmetric map. The aim of this note is to show that the Gromov hyperbolic metric dh, recently introduced by the author, hyperbolizes the space X. In add...